TSTP Solution File: RNG011-5 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : RNG011-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:54:43 EDT 2023
% Result : Unsatisfiable 2.76s 1.69s
% Output : CNFRefutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 13 ( 5 unt; 8 typ; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 4 (; 4 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ associator > multiply > commutator > add > #nlpp > additive_inverse > b > additive_identity > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(additive_identity,type,
additive_identity: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(associator,type,
associator: ( $i * $i * $i ) > $i ).
tff(commutator,type,
commutator: ( $i * $i ) > $i ).
tff(additive_inverse,type,
additive_inverse: $i > $i ).
tff(b,type,
b: $i ).
tff(add,type,
add: ( $i * $i ) > $i ).
tff(f_84,axiom,
! [X,Y] : ( multiply(multiply(associator(X,X,Y),X),associator(X,X,Y)) = additive_identity ),
file(unknown,unknown) ).
tff(f_86,axiom,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
file(unknown,unknown) ).
tff(c_42,plain,
! [X_36,Y_37] : ( multiply(multiply(associator(X_36,X_36,Y_37),X_36),associator(X_36,X_36,Y_37)) = additive_identity ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_44,plain,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_46,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG011-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 17:52:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 2.76/1.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.76/1.69
% 2.76/1.69 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.88/1.72
% 2.88/1.72 Inference rules
% 2.88/1.72 ----------------------
% 2.88/1.72 #Ref : 0
% 2.88/1.72 #Sup : 0
% 2.88/1.72 #Fact : 0
% 2.88/1.72 #Define : 0
% 2.88/1.72 #Split : 0
% 2.88/1.72 #Chain : 0
% 2.88/1.72 #Close : 0
% 2.88/1.72
% 2.88/1.72 Ordering : KBO
% 2.88/1.72
% 2.88/1.72 Simplification rules
% 2.88/1.72 ----------------------
% 2.88/1.72 #Subsume : 21
% 2.88/1.72 #Demod : 1
% 2.88/1.72 #Tautology : 0
% 2.88/1.72 #SimpNegUnit : 0
% 2.88/1.72 #BackRed : 0
% 2.88/1.72
% 2.88/1.72 #Partial instantiations: 0
% 2.88/1.72 #Strategies tried : 1
% 2.88/1.72
% 2.88/1.72 Timing (in seconds)
% 2.88/1.72 ----------------------
% 2.88/1.72 Preprocessing : 0.52
% 2.88/1.72 Parsing : 0.27
% 2.88/1.72 CNF conversion : 0.03
% 2.88/1.72 Main loop : 0.05
% 2.88/1.72 Inferencing : 0.00
% 2.88/1.72 Reduction : 0.02
% 2.88/1.72 Demodulation : 0.02
% 2.88/1.72 BG Simplification : 0.02
% 2.88/1.72 Subsumption : 0.02
% 2.88/1.72 Abstraction : 0.01
% 2.88/1.72 MUC search : 0.00
% 2.88/1.72 Cooper : 0.00
% 2.88/1.72 Total : 0.62
% 2.88/1.72 Index Insertion : 0.00
% 2.88/1.72 Index Deletion : 0.00
% 2.88/1.72 Index Matching : 0.00
% 2.88/1.72 BG Taut test : 0.00
%------------------------------------------------------------------------------